Number Sense

Thanks for visiting NZMaths.
We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.
 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

Planning notes

Level/Framework stage/Group: Stage 5

Duration/Date: Three Weeks

Resource logo
Level Two
Level Three
Number and Algebra
Numeracy activities

Recall addition and subtraction facts to 20.

Recall the multiplication and division facts for the multiples of 2, 3, 5, and 10.

Recall multiplication to 10 x 10, and the corresponding division facts.

 

Resource logo
Level Two
Level Three
Number and Algebra
Numeracy activities

Recall addition and subtraction facts to 20.

Recall the multiplication and division facts for the multiples of 2, 3, 5, and 10.

Recall multiplication to 10 x 10, and the corresponding division facts.

Resource logo
Level Two
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties. Some of these activities would be suitable for homework. Others require follow-up during teaching sessions.
know compatible numbers to 20
use , >, = symbols
solve addition problems using addition basic facts to 20
solve word problems using basic facts
Resource logo
Level Two
Number and Algebra
Numeracy activities

Solve addition problems by using compatible numbers.

Resource logo
Level Two
Number and Algebra
Numeracy activities

Solve addition problems by using compatible numbers.

Resource logo
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series. It also has an achievement objective from the Level 2 Number strategies substrand.A PDF of the student activity is included.

link repeated addition to multiplication

Resource logo
Level Two
Number and Algebra
Numeracy activities

Recall doubles to 20.

Resource logo
Level Two
Level Three
Number and Algebra
Numeracy activities

Recall the number of tens and hundreds in 100s and 1000s.

Solve addition and subtraction problems by using place value partitioning.

Find out how many ones, tens, hundreds and thousands are in all of a whole number.

Resource logo
Level Two
Number and Algebra
Numeracy activities

Recall the number of tens and hundreds in 100s and 1000s.

Solve addition and subtraction problems by using place value partitioning.

Resource logo
Level Two
Level Three
Number and Algebra
Numeracy activities

Recall the number of tens and hundreds in 100s and 1000s.

Solve addition and subtraction problems by using place value partitioning.

Find out how many ones, tens, hundreds and thousands are in all of a whole number.

Resource logo
Level Two
Level Three
Number and Algebra
Numeracy activities

Recall the number of tens and hundreds in 100s and 1000s.

Identify symbols for any fraction, including tenths, hundredths, thousandths, and those greater than 1.

Solve addition and subtraction problems using decomposition, leading to a written algorithm

 

Resource logo
Level Two
Number and Algebra
Numeracy activities
In this activity the purpose is to find out how many tens and ones blocks are hidden from a given total.

solve subtraction problems

Resource logo
Level Two
Level Three
Number and Algebra
Numeracy activities

Recall addition and subtraction facts to 20.

Recall the multiplication and division facts for the multiples of 2, 3, 5, and 10.

Recall multiplication to 10 x 10, and the corresponding division facts.

 

Resource logo
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

use basic facts knowledge of addition and subtraction facts

Resource logo
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

know addition facts

know subtraction facts

Resource logo
Level Two
Number and Algebra
Numeracy activities
The purpose of this unit is to introduce the part-whole strategy of bridging to ten.

bridge to ten to solve number problems

Resource logo
Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework. A PDF of the student activity is included.

add and subtract numbers using the "through tens" strategy

Resource logo
Level Two
Level Three
Level Four
Number and Algebra
Numeracy activities

Identify numbers in the range 0–1000.

Identify all of the numbers in the range 0–1 000 000.

Identify and order decimals to three places.

Say the number one–thousandth, one–hundredth, one–tenth, one, and ten, etc, before and after any given number.

Resource logo
Level One
Level Two
Level Three
Level Four
Number and Algebra
Numeracy activities

Order numbers in the range 0–100.

Order the numbers in the range 0–1000.

Order whole numbers in the range 0–1 000 000.

Read decimals with tenths, count forwards and backwards in tenths, order decimals with tenths.

Identify and order decimals to three places.

Resource logo
Level Two
Number and Algebra
Units of Work
In this unit students are encouraged to abandon counting methods, in favour of using known doubles facts, to derive the answers to addition problems. Using doubles is more complex but more efficient.
  • Be able to recall instantly doubles from 1 + 1 to 9 + 9.
  • Use known doubles facts to work out addition problems mentally using part/whole reasoning.
Resource logo
Level Two
Number and Algebra
Units of Work
In this unit students, are encouraged to extend their use of part/whole methods from working with small numbers to working with multi-digit numbers. This work follows naturally from the Smart Doubling and Make a Ten units.
  • Use part/whole strategies to solve multi-digit addition and subtraction problems.
  • Use the most efficient mental strategy for a given problem.
Resource logo
Level Three
Number and Algebra
Units of Work
In this unit we look at a range of strategies for solving addition and subtraction problems with whole numbers. This supports students anticipating, from the structure of a problem, which strategies might be best suited to solving it.
  • Mentally solve whole number addition and subtraction problems using a range of strategies.
  • Use appropriate techniques to record mathematical thinking.
  • Predict the usefulness of strategies for given problems.
  • Evaluate the effectiveness of selected strategies.
  • Generalise the types of problems that are...
Resource logo
Level Three
Number and Algebra
Figure It Out activities
This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework. A PDF of the student activity is included.

compare addition and subtraction strategies

Resource logo
Level Three
Number and Algebra
Numeracy activities

Solve problems using a combination of addition, subtraction, multiplication and division mental strategies.

Resource logo
Level Three
Number and Algebra
Numeracy activities

Solve problems using a combination of addition, subtraction, multiplication and division mental strategies.

Resource logo
Level Three
Integrated
Figure It Out activities
This is a level 3 geometry and algebra activity from the Figure It Out theme series. A PDF of the student activity is included.

make a three dimensional model with multilink cubes from a two dimensional drawing

describe and continue a sequential pattern

explore the Mayan number system

 

The files will download as a zip archive. Double-click on the archive file to extract the attachments on your computer.